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A single period inventory model with a truncated normally distributed fuzzy random variable demand. (English) Zbl 1258.93017

Summary: In this article, a single period inventory model is considered in the mixed fuzzy random environment by assuming the annual customer demand to be a fuzzy random variable. Since assuming demand to be normally distributed implies that some amount of demand information is being automatically taken to be negative, the model is developed for two cases, using the non-truncated and the truncated normal distributions. The problem is able to represent scenarios where the aim of the decision-maker is to determine the optimal order quantity such that the expected profit is greater than or equal to a predetermined target. This ’greater than or equal to’ inequality is modeled as a fuzzy inequality. The methodology developed in the paper is illustrated by a numerical example.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
90B05 Inventory, storage, reservoirs
93E03 Stochastic systems in control theory (general)
93C42 Fuzzy control/observation systems
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References:

[1] DOI: 10.1016/j.ejor.2004.04.044 · Zbl 1077.90003
[2] Dey O, International Journal of Mathematical, Physical and Engineering Sciences WASET 1 pp 8– (2008)
[3] DOI: 10.1016/j.ejor.2008.07.043 · Zbl 1163.90819
[4] DOI: 10.1016/j.mcm.2004.08.007 · Zbl 1121.90302
[5] DOI: 10.1016/j.camwa.2006.04.029 · Zbl 1152.90309
[6] DOI: 10.1016/j.amc.2006.10.052 · Zbl 1137.90756
[7] Gallego G, Journal of the Operational Research Society 44 pp 825– (1993) · Zbl 0781.90029
[8] DOI: 10.1016/j.fss.2006.05.002 · Zbl 1108.60006
[9] Hadley G, Analysis of Inventory Systems (1963) · Zbl 0133.42901
[10] DOI: 10.1016/S0377-2217(97)00173-2
[11] DOI: 10.1016/j.amc.2005.11.123 · Zbl 1139.90436
[12] DOI: 10.1016/j.amc.2005.01.139 · Zbl 1169.90496
[13] DOI: 10.1016/S0898-1221(01)00325-X · Zbl 0994.90002
[14] DOI: 10.1016/S0305-0483(99)00017-1
[15] DOI: 10.1016/0020-0255(78)90019-1 · Zbl 0438.60004
[16] DOI: 10.1016/S0165-0114(02)00104-5 · Zbl 1013.90003
[17] DOI: 10.1016/j.cie.2007.10.002
[18] DOI: 10.1016/S0020-0255(03)00079-3 · Zbl 1039.60002
[19] Naddor E, Inventory Systems (1966)
[20] DOI: 10.1016/0022-247X(86)90093-4 · Zbl 0592.60004
[21] DOI: 10.1016/0377-2217(89)90386-X · Zbl 0672.90103
[22] DOI: 10.1016/0377-2217(95)00008-9 · Zbl 0914.90265
[23] DOI: 10.1016/j.ejor.2004.10.002 · Zbl 1116.90011
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